\relax 
\@writefile{toc}{\contentsline {section}{\numberline {1}试求 $f(t)=|\qopname  \relax o{sin}t|$ 的离散频谱和它的傅里叶级数的复指数形式.}{1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2}试证:若 $f(t)$ 满足傅里叶积分定理的条件, 则有$$f(t)=\DOTSI \intop \ilimits@ _{0}^{+\infty } a(\omega ) \qopname  \relax o{cos}\omega t \mathrm  {\nobreakspace  {}d} \omega +\DOTSI \intop \ilimits@ _{0}^{+\infty } b(\omega ) \qopname  \relax o{sin}\omega t \mathrm  {\nobreakspace  {}d} \omega $$其中$$\begin  {array}{l}a(\omega )=\genfrac  {}{}{}0{1}{\pi } \DOTSI \intop \ilimits@ _{-\infty }^{+\infty } f(\tau ) \qopname  \relax o{cos}\omega \tau \mathrm  {d} \tau \\b(\omega )=\genfrac  {}{}{}0{1}{\pi } \DOTSI \intop \ilimits@ _{-\infty }^{+\infty } f(\tau ) \qopname  \relax o{sin}\omega \tau \mathrm  {d} \tau \end  {array}$$}{1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {3}求下列函数的傅里叶变换.}{1}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4}求下列函数的傅里叶积分.}{2}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5}求下列函数的傅里叶变换, 并证明下列积分结果.}{3}\protected@file@percent }
